RozgarDesh (रोजगार देश)

Practice Problem on Number System How many zeroes will be there in the expansion of the expression  1¹×2²×3³×4⁴……..×100¹ºº?. 1200    1300 1400 1500 How many 3-digit numbers do not have an even digit or a zero? 100 125 150 175 If each of the three nonzero numbers  a, b and  c  is divisible by 3, then  abc  must be divisible by which one of the following the numbers? 27      36 45 54 Find the remainder when 2³¹ is divided by 5 ? 3 5   7  9  What is the remainder left after dividing 1!+2!+3!.....+100! by 7? 5 6 7 8 Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

Profit, Loss and Discount  In this post, We will learn about  Profit, Loss and Discount. Cost Price: Price at which an item is purchased. The cost price is abbreviated  as C.P.    Selling Price:   Price at which an item is sold. The selling price is abbreviated as S.P.    Profit: If selling price of an item is more than cost price then profit is the difference between selling price (S.P) and cost price (C.P). Loss:  If selling price of an item is less than cost price then profit is the difference between  cost price (C.P) and  selling price (S.P). Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

Number Systems For CAT Basic Formula (a+b)² = a² + b² + 2ab (a−b)² = a² + b²− 2ab (a+b)² − (a−b)² = 4ab (a+b)² + (a−b)² = 2(a²+b²) (a²−b²) = (a+b)(a−b) (a+b+c)² = a² + b² +c² + 2(ab+bc+ca) (a³+b³) = (a+b)(a²−ab+b²) (a³−b³) = (a−b)(a²+ab+b²) (a³+b³+c³−3abc) = (a+b+c)(a²+b²+c²−ab−bc−ca) If a+b+c=0, then a³+b³+c³ = 3abc Type of Number Natural Number: Whole Number Integer Number Even Number Odd Number Prime Number Composite Number Co Prime Number Real Number Remainder and Quotient The remainder is r when number p is divided by k" means p=kq+r the integer q is called the quotient. For Example: remainder is 1 when 5 is divided by 2 means 5 = 2 x 2 + 1 Even, Odd Number  A number n is even if the remainder is zero when n is divided by 2:n=2z+0, or n=2z. A number n is odd if the remainder is one when n is divided by 2:n=2z+1. The following properties for odd and even numbers are very useful - you should memorize them: even x eve...